What exactly do these following driving violations mean? I'm not a driver, so I'm not entirely sure of their meanings...

-Following too closely [does that count if a car crashes into another?]
-Reckless driving [does that count if a car crashes into another?]
-Inadequate brakes [what if a car was speeding and couldn't brake/stop in time, so it crashed into another car? Does that count?]

This is actually for a physics problem, but we have to apply real-world laws to it.
Thanks in advance! =)